(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes. (ii) The Poisson distribution or, the law of improbable events, has positively skewed shape.
(iii) In a Poisson distribution each trail is independent.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct for both the binomial and Poisson distributions, as they both have two possible outcomes (success or failure / event occurrence or non-occurrence). 
(ii) is correct for the Poisson distribution, as it typically has a positively skewed shape due to the rarity of large event occurrences. 
(iii) is correct for the Poisson distribution, as each event occurrence is assumed to be independent of the others. Therefore, all three statements are correct for the Poisson distribution, leading to the selection of choice letter A as the best answer.

(I the Binomial Distribution and the Poisson Distribution Have Two